A non-reflecting metamaterial slab under the finite-embedded coordinate transformation

TL;DR

This paper derives conditions for non-reflecting boundaries in finite-embedded coordinate transformation metamaterial slabs, enabling efficient design of reflectionless optical devices through explicit Maxwell's equation solutions.

Contribution

It provides a novel analytical framework to determine non-reflecting conditions in finite-embedded metamaterials using explicit Maxwell's solutions.

Findings

Derived explicit conditions for non-reflecting boundaries.

Validated approach with examples from literature and new cases.

Enhanced understanding of reflection control in metamaterials.

Abstract

From the explicit solutions of Maxwell's equations under the coordinate transformation, the conditions for non-reflecting boundaries for the two-dimensionally propagating light waves, in a finite-embedded coordinate transformation metamaterial slab are derived in cases of extended two-dimensional. By exploring several examples, including some reported in the literatures and some novel developed in this study, we show that our approach can be used to efficiently determine the condition in which a finite-embedded coordinate transformed metamaterial slab is non-reflecting.